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Finding the Third Proportional to 96,953,204 and 207,343,334

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Solution

The third proportional to 96,953,204 and 207,343,334 is: 443,422,768.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,953,204 : 207,343,334 = 207,343,334 : x
  2. Step 2: Convert to fraction form
    96,953,204/207,343,334 = 207,343,334/x
  3. Step 3: Cross multiply
    96,953,204x = 207,343,334 × 207,343,334
  4. Step 4: Simplify right side
    96,953,204x = 42,991,258,154,235,552
  5. Step 5: Solve for x
    x = 42,991,258,154,235,552/96,953,204
  6. Step 6: Final answer
    x = 443,422,768.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.